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3 years ago

How do u add 2 3/4 + 3 3/8

Mathematics

2 answers:

Goryan [66]3 years ago

8 0

Answer:

change to improper fractions first

6/8 + 6/24

make so there is a common denominator

6/8 × 3/3 = 18/24

now add

18/24 + 6/24 = 24/24 = 1

antiseptic1488 [7]3 years ago

6 0

First, find the common denominator.

3/8 and 3/4 ——> the both have 16.

3/4 X 4/4 and 3/8 X 2/2 —> 12/16 & 6/16

Now, we are going to add.

2 12/16 + 3 6/16 = 6 2/16

You carrying the one since you got 18/16.

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1 year ago

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Hello!

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3 years ago

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A vector with magnitude 9 points in a direction 190 degrees counterclockwise from the positive x axis. Write in component form

Over [174]

Answer:

$\vec{v}= \text{ or } \approx$

Step-by-step explanation:

Component form of a vector is given by $\vec{v}=$ , where $i$ represents change in x-value and $j$ represents change in y-value. The magnitude of a vector is correlated the Pythagorean Theorem. For vector $\vec{v}=$ , the magnitude is $||v||=\sqrt{i^2+j^2$ .

190 degrees counterclockwise from the positive x-axis is 10 degrees below the negative x-axis. We can then draw a right triangle 10 degrees below the horizontal with one leg being $i$ , one leg being $j$ , and the hypotenuse of the triangle being the magnitude of the vector, which is given as 9.

In any right triangle, the sine/sin of an angle is equal to its opposite side divided by the hypotenuse, or longest side, of the triangle.

Therefore, we have:

$\sin 10^{\circ}=\frac{j}{9},\\j=9\sin 10^{\circ}$

To find the other leg, $i$ , we can also use basic trigonometry for a right triangle. In right triangles only, the cosine/cos of an angle is equal to its adjacent side divided by the hypotenuse of the triangle. We get:

$\cos 10^{\circ}=\frac{i}{9},\\i=9\cos 10^{\circ}$

Verify that $(9\sin 10^{\circ})^2+(9\cos 10^{\circ})^2=9^2\:\checkmark$

Therefore, the component form of this vector is $\vec{v}=\boxed{}\approx \boxed{}$

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